TW201705186A - Plasma reactor having digital control over rotation frequency of a microwave field with direct up-conversion - Google Patents

Plasma reactor having digital control over rotation frequency of a microwave field with direct up-conversion Download PDF

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TW201705186A
TW201705186A TW105108504A TW105108504A TW201705186A TW 201705186 A TW201705186 A TW 201705186A TW 105108504 A TW105108504 A TW 105108504A TW 105108504 A TW105108504 A TW 105108504A TW 201705186 A TW201705186 A TW 201705186A
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microwave
digital
output
frequency
plasma reactor
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TWI671783B (en
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小林悟
菅井英夫
朴書南
拉馬斯瓦米卡提克
路柏曼斯基迪米奇
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應用材料股份有限公司
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J37/00Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
    • H01J37/32Gas-filled discharge tubes
    • H01J37/32009Arrangements for generation of plasma specially adapted for examination or treatment of objects, e.g. plasma sources
    • H01J37/32192Microwave generated discharge
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J37/00Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
    • H01J37/32Gas-filled discharge tubes
    • H01J37/32009Arrangements for generation of plasma specially adapted for examination or treatment of objects, e.g. plasma sources
    • H01J37/32192Microwave generated discharge
    • H01J37/32211Means for coupling power to the plasma
    • H01J37/3222Antennas
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J37/00Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
    • H01J37/32Gas-filled discharge tubes
    • H01J37/32009Arrangements for generation of plasma specially adapted for examination or treatment of objects, e.g. plasma sources
    • H01J37/32192Microwave generated discharge
    • H01J37/32302Plural frequencies
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J37/00Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
    • H01J37/32Gas-filled discharge tubes
    • H01J37/32009Arrangements for generation of plasma specially adapted for examination or treatment of objects, e.g. plasma sources
    • H01J37/32192Microwave generated discharge
    • H01J37/32311Circuits specially adapted for controlling the microwave discharge

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Plasma & Fusion (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Plasma Technology (AREA)
  • Drying Of Semiconductors (AREA)

Abstract

A plasma reactor for processing a workpiece has a microwave source with a digitally synthesized rotation frequency using direct digital up-conversion and a user interface for controlling the rotation frequency.

Description

具有以直接上轉換對微波場之旋轉頻率進行數位控制的電 漿反應器 Electric with digital control of the rotational frequency of the microwave field by direct up-conversion Slurry reactor 【相關申請案的交叉引用】 [Cross-reference to related applications]

本申請案依專利法主張於Satoru Kobayashi等人在2015年12月18日提出申請的第14/974,376號發明名稱為「具有以直接上轉換對微波場之旋轉頻率進行數位控制的電漿反應器」的美國專利申請案之優先權權益,其主張於Satoru Kobayashi等人在2015年3月23日提出申請的第62/136,737號發明名稱為「具有對微波場之旋轉頻率進行數位控制的電漿反應器」的美國專利臨時申請案之優先權權益;及主張於Satoru Kobayashi等人在2015年4月28日提出申請的第62/153,688號發明名稱為「具有以直接上轉換對微波場之旋轉頻率進行數位控制的電漿反應器」的美國專利臨時申請案之優先權權益。 This application is based on the patent law. No. 14/974,376, filed on December 18, 2015 by Satoru Kobayashi et al., entitled "Plastic Reactor with Digital Control of Rotational Frequency of Microwave Field by Direct Upconversion" The priority of U.S. Patent Application No. 62/136,737, filed on March 23, 2015 by Satoru Kobayashi et al., entitled "There is a plasma with digital control of the rotational frequency of the microwave field" The priority of the U.S. Patent Provisional Application of the Reactor; and the invention entitled "Application of Satoru Kobayashi et al., filed on April 28, 2015, No. 62/153,688, entitled "With a direct up-conversion to the rotation of the microwave field" Priority interest in U.S. Patent Provisional Application, which is incorporated herein by reference.

本發明申請案係關於針對使用微波電漿源處理工件(如半導體晶圓)的電漿反應器。 The present application is directed to a plasma reactor for treating a workpiece (e.g., a semiconductor wafer) using a microwave plasma source.

微波電漿源產生的電漿特徵在於具有低鞘電壓與反應氣體的高離解。在微波電漿處理的許多應用中,圓形徑向波導通常用於製造均勻電漿以處理圓形晶圓。然而,由於微波施用器的非均勻(non-uniform)場分佈,以及部分由於表面波的激發,所得到的電漿通常在徑向方向與方位角方向的一者或兩者中具有不均勻(inhomogeneous)的離子密度分佈。 The plasma produced by the microwave plasma source is characterized by a high dissociation of the low sheath voltage and the reactive gas. In many applications of microwave plasma processing, circular radial waveguides are commonly used to make uniform plasmas to process circular wafers. However, due to the non-uniform field distribution of the microwave applicator, and in part due to the excitation of surface waves, the resulting plasma typically has non-uniformity in one or both of the radial and azimuthal directions ( Inhomogeneous) ion density distribution.

為了改善電漿均勻性,已經提出了將微波施用器使用於TE111模式的高均勻場在鄰近處理區域的圓柱形凹孔中所旋轉的地方。這是通過從兩個空間正交的方向引入時間相位差90度的微波來達到。為了激發圓形在凹孔中的完美圓形(perfectly circular)旋轉,在兩個正交位置處監控圓柱形凹孔中的電磁波的相位與波幅。所測得的相位和波幅反饋回雙輸出數位微波產生器以確保完美圓形旋轉。在這個微波應用的系統中,波場凹孔內圓形地旋轉,使得特別在方位角方向預期有相當均勻的電漿分佈。 In order to improve plasma uniformity, it has been proposed to use a microwave applicator for the high uniform field of the TE 111 mode to rotate in a cylindrical recess adjacent to the processing zone. This is achieved by introducing microwaves with a time phase difference of 90 degrees from two orthogonal directions. In order to excite a perfectly circular rotation of the circle in the recess, the phase and amplitude of the electromagnetic waves in the cylindrical recess are monitored at two orthogonal positions. The measured phase and amplitude are fed back to the dual output digital microwave generator to ensure a perfect circular rotation. In this system of microwave applications, the wave field recesses are circularly rotated within the bore such that a fairly uniform plasma distribution is expected, particularly in the azimuthal direction.

這種方法對於在低腔室壓力的電漿是有效的,如小於200mTorr的壓力。在高壓處(如在大於1Torr的壓力),電漿通常是局部的,取決於第一引燃點發生的地方。在這種情況下,即使微波場的旋轉可能是完美圓形,但是因為旋轉週期相對於微波頻率係極短的,局部電漿可能無法跟隨(follow)旋轉磁場。旋轉週期可以是約0.5ns(如1/2.45GHz)的量級,這比 全局電漿反應時間(其可以超過1ms)少得多。提供一種增進電漿均勻性而不損及電漿在高壓(如1Torr)下跟隨2.45GHz的場旋轉之能力的方法係有所需要的。 This method is effective for plasma at low chamber pressures, such as pressures less than 200 mTorr. At high pressures (such as at pressures greater than 1 Torr), the plasma is typically local, depending on where the first ignition point occurs. In this case, even if the rotation of the microwave field may be perfectly circular, since the rotation period is extremely short with respect to the microwave frequency, the local plasma may not follow the rotating magnetic field. The rotation period can be on the order of about 0.5 ns (such as 1/2.45 GHz), which is The global plasma reaction time (which can exceed 1 ms) is much less. It would be desirable to provide a method that enhances plasma uniformity without compromising the ability of the plasma to follow a field rotation of 2.45 GHz at high voltages (e.g., 1 Torr).

一種電漿反應器,包括:圓柱形微波凹孔,該圓柱形微波凹孔在工件處理腔室之上,及該圓柱形微波凹孔的一側壁中的第一與第二耦接孔以一角度分隔開;微波源,該微波源具有一微波頻率且包括一對微波控制器,該對微波控制器具有耦接至該第一與第二耦接孔中的相應各者之微波輸出。該等微波控制器之各者包含(a)第一與第二數位調變訊號的一源,該第一與第二數位調變訊號具有對應於慢速旋轉頻率的一頻率;(b)第一數位載波訊號的一源,該第一數位載波訊號具有一中頻;(c)一乘法器級,該乘法器級包含一對乘法器,該對乘法器中的各個乘法器具有一對輸入,該乘法器級經耦接以分別接收(a)該第一數位調變訊號、該第二數位調變訊號與該第一數位載波訊號,該乘法器級具有對應的輸出in1與in2;(d)一數位轉類比的轉換器,該數位轉類比的轉換器經耦接以接收該等對應的輸出in1與in2且具有對應於該等輸出in1與in2的類比輸出;及一上轉換器,該上轉換器具有與該等類比輸出耦接的輸入,該上轉換器包含該等微波輸出。 A plasma reactor comprising: a cylindrical microwave recess, the cylindrical microwave recess being above the workpiece processing chamber, and the first and second coupling holes in a sidewall of the cylindrical microwave recess The microwave source has a microwave frequency and includes a pair of microwave controllers, and the pair of microwave controllers have microwave outputs coupled to respective ones of the first and second coupling holes. Each of the microwave controllers includes (a) a source of the first and second digit modulation signals, the first and second digit modulation signals having a frequency corresponding to the slow rotation frequency; (b) a source of a digital carrier signal, the first digital carrier signal having an intermediate frequency; (c) a multiplier stage, the multiplier stage comprising a pair of multipliers, each of the pair of multipliers having a pair of inputs, The multiplier stage is coupled to receive (a) the first digital modulation signal, the second digital modulation signal and the first digital carrier signal, the multiplier stage having corresponding outputs in1 and in2; a digital to analog converter coupled to receive the corresponding outputs in1 and in2 and having an analog output corresponding to the outputs in1 and in2; and an upconverter, The upconverter has an input coupled to the analog outputs, the upconverter including the microwave outputs.

在一個實施例中,該對乘法器中的第一個乘法器經耦接以接收該第一數位調變訊號與該數位載波訊 號,且具有包含該輸出in1的第一乘法器輸出,而該對乘法器中的第二個乘法器經耦接以接收該第二數位調變訊號與該數位載波訊號,且具有包含該乘法器輸出in2的一第二乘法器輸出。 In one embodiment, the first multiplier of the pair of multipliers is coupled to receive the first digital modulation signal and the digital carrier signal And having a first multiplier output including the output in1, and the second multiplier of the pair of multipliers is coupled to receive the second digital modulation signal and the digital carrier signal, and has the multiplication method The device outputs a second multiplier output of in2.

在另一個實施例中,反應器進一步包括中頻的第二數位載波訊號源,其中:該第一數位載波訊號的該源耦接至該輸出in1;該對乘法器中的第一個乘法器經耦接以接收該第一數位調變訊號與該第一數位載波訊號;該對乘法器中的第二個乘法器經耦接以接收該第二數位調變訊號與該第二數位載波訊號,且具有包含該乘法器輸出in2的第二乘法器輸出;其中該乘法器級進一步包括加法器,該加法器經耦接以接收該第一與第二乘法器的輸出,該加法器具有包含該輸出in2的輸出。 In another embodiment, the reactor further includes a second digital carrier signal source of the intermediate frequency, wherein: the source of the first digital carrier signal is coupled to the output in1; the first multiplier of the pair of multipliers The second digital multiplier of the pair of multipliers is coupled to receive the second digital modulated signal and the second digital carrier signal. The second digital multiplier is coupled to receive the first digital modulated signal and the first digital carrier signal. And having a second multiplier output comprising the multiplier output in2; wherein the multiplier stage further comprises an adder coupled to receive an output of the first and second multipliers, the adder having an The output of this output is in2.

在一個實施例中,第一與第二波幅調變訊號分別包括一餘弦形式分量I與一正弦形式分量Q。 In one embodiment, the first and second amplitude modulation signals comprise a cosine form component I and a sinusoidal form component Q, respectively.

在一個實施例中,第一與第二波幅調變訊號的源包括第一RAM(隨機存取記憶體)、第二RAM與低時脈指針(low clock pointer),該第一RAM包含該餘弦形式分量I的連續取樣,該第二RAM包含該正弦形式分量Q的連續取樣,該低時脈指針指向I與Q的連續取樣而與該慢速旋轉頻率同步。 In one embodiment, the sources of the first and second amplitude modulation signals include a first RAM (random access memory), a second RAM, and a low clock pointer, the first RAM including the cosine Continuous sampling of the form component I, the second RAM containing successive samples of the sinusoidal form component Q directed to successive samples of I and Q synchronized with the slow rotational frequency.

在一個實施例中,數位載波訊號的源包括第三RAM與低時脈指針,該第三RAM包含該數位載波訊 號的連續取樣,該低時脈指針指向該數位載波訊號的連續取樣而與該中頻同步。 In one embodiment, the source of the digital carrier signal includes a third RAM and a low clock pointer, and the third RAM includes the digital carrier signal Continuous sampling of the number, the low clock pointer pointing to the continuous sampling of the digital carrier signal and synchronizing with the intermediate frequency.

在一個實施例中,上轉換器具有等於該微波頻率的一輸出頻率。 In one embodiment, the upconverter has an output frequency equal to the microwave frequency.

在一個實施例中,該等乘法器的各者產生該等訊號的乘積(product)在其輸入處。 In one embodiment, each of the multipliers produces a product of the signals at its input.

在一個實施例中,電漿反應器進一步包括使用者介面,該使用者介面允許使用者指定該慢速旋轉頻率。在一個實施例中,該使用者介面進一步允許使用者指定該等微波訊號輸出之間的相位差。 In one embodiment, the plasma reactor further includes a user interface that allows a user to specify the slow rotational frequency. In one embodiment, the user interface further allows the user to specify a phase difference between the microwave signal outputs.

根據一個實施例,提供一種方法以產生一旋轉微波場於凹孔中,該凹孔具有以一角度偏置的一對微波注入口,該旋轉微波場具有受控的慢速旋轉頻率(slow rotation frequency)。該方法包括以下步驟:產生低於微波場頻率的中頻第一與第二數位載波,該第一與第二數位載波是彼此的餘函數(co-function);產生對應於慢轉動頻率之慢頻率的第一與第二數位調變訊號中的至少一個,該第一與第二數位調變訊號對應於餘弦形式與正弦形式的分量;產生低於微波場頻率的中頻第一與第二數位載波,該第一與第二數位載波是彼此的餘函數;至少將第二數位調變訊號與該第一和第二數位載波中的至少一個混合以產生一對數位輸出in1與in2中的至少一個;及將該數位輸出上 轉換為微波頻率以產生一對偏移(offset)的微波訊號,並將該對偏移的微波訊號施用於該對微波注入口。 According to one embodiment, a method is provided for generating a rotating microwave field in a recess having a pair of microwave injection ports offset at an angle having a controlled slow rotation frequency (slow rotation) Frequency). The method includes the steps of: generating intermediate frequency first and second digital carriers below a microwave field frequency, the first and second digital carriers being co-functions of each other; generating a slow response to a slow rotational frequency At least one of the first and second digit modulation signals of the frequency, the first and second digit modulation signals corresponding to the cosine form and the sinusoidal form component; generating the intermediate frequency first and second below the microwave field frequency a digital carrier, the first and second digital carriers are complementary functions of each other; at least mixing the second digital modulated signal with at least one of the first and second digital carriers to generate a pair of digital outputs in in1 and in2 At least one; and output the digit Converting to microwave frequency to generate a pair of offset microwave signals, and applying the pair of offset microwave signals to the pair of microwave injection ports.

在一個實施例中,該方法進一步包括將第一和第二數位調變訊號與第一和第二數位載波中相對應的數位載波混合,以產生該對數位輸出in1和in2中相對應的數位輸出。 In one embodiment, the method further includes mixing the first and second digit modulation signals with corresponding ones of the first and second digit carriers to generate corresponding digits of the pair of bit outputs in1 and in2 Output.

在一個實施例中,該方法進一步包括以下步驟:提供第一數位載波訊號作為輸出in1;將第一和第二數位載波與第一和第二數位調變訊號中相對應的數位調變訊號混合,並加入相應乘積(products)以產生輸出in2。 In one embodiment, the method further includes the steps of: providing a first digital carrier signal as an output in1; mixing the first and second digital carriers with corresponding digital modulation signals of the first and second digital modulation signals And add the corresponding products to produce the output in2.

根據採用直接上轉換的另一個態樣,電漿反應器包括圓柱形微波凹孔,該圓柱形微波凹孔在工件處理腔室之上,及該圓柱形微波凹孔的側壁中的第一與第二耦接孔以一角度分隔開;微波源,該微波源具有一微波頻率且包括耦接至該第一與第二耦接孔中的相應各者之微波輸出。微波源包含數位調變訊號的同相(in-phase)分量1-A與正交(quadrature)分量2-A的一源,該數位調變訊號具有對應於慢速旋轉頻率的一頻率;數位轉類比的轉換器,該數位轉類比的轉換器經耦接以接收同相與正交分量1-A與1-B,且具有相對應的類比輸出in1與in2;及上轉換器,該上轉換器包含:(a)第一組合器函數,該第一組合器函數包含該類比輸出in1與該微波頻率的一同相分量之對應輸入,及對應 於該等微波輸出中的第一個微波輸出之第一乘積輸出;及(b)第二組合器函數,該第二組合器函數包含該類比輸出in2與該微波頻率的同相分量的對應輸入,該第二組合器函數包含第二乘積輸出。 According to another aspect of employing direct up-conversion, the plasma reactor includes a cylindrical microwave recess, the first of the cylindrical microwave recesses above the workpiece processing chamber and the sidewall of the cylindrical microwave recess The second coupling holes are separated by an angle; the microwave source has a microwave frequency and includes a microwave output coupled to respective ones of the first and second coupling holes. The microwave source includes a source of an in-phase component 1-A and a quadrature component 2-A of the digital modulation signal, the digital modulation signal having a frequency corresponding to a slow rotational frequency; An analog converter that is coupled to receive in-phase and quadrature components 1-A and 1-B and has corresponding analog outputs in1 and in2; and an up-converter, the up-converter The method includes: (a) a first combiner function, the first combiner function includes a corresponding input of the analog output in1 and an in-phase component of the microwave frequency, and corresponding a first product output of the first microwave output of the microwave outputs; and (b) a second combiner function comprising a corresponding input of the analog output in2 and an in-phase component of the microwave frequency, The second combiner function includes a second product output.

在一個實施例中,第二乘積輸出耦接至該等微波輸出中的第二個微波輸出。 In one embodiment, the second product output is coupled to a second one of the microwave outputs.

在一不同的實施例中,微波源進一步包括恆定訊號A的一源,且其中該上轉換器進一步包括:第三組合器函數,該第三組合器函數具有經耦接以接收該恆定訊號A的一個輸入及經耦接以接收該微波頻率的該正交分量的另一個輸入,及第三乘積輸出;及加法器函數,該加法器函數具有分別耦接至該第二與第三乘積輸出的輸入及耦接至該等微波輸出中的該第二個微波輸出的和數輸出。 In a different embodiment, the microwave source further includes a source of constant signal A, and wherein the up converter further includes: a third combiner function having a coupling to receive the constant signal A And an input coupled to receive the other input of the orthogonal component of the microwave frequency, and a third product output; and an adder function having coupled to the second and third product outputs, respectively And an input coupled to the sum of the second microwave outputs in the microwave outputs.

在一個實施例中,該數位調變訊號的同相分量的源產生該數位調變訊號與該恆定訊號A的總和。 In one embodiment, the source of the in-phase component of the digital modulation signal produces a sum of the digital modulation signal and the constant signal A.

在一個實施例中,該同相與正交分量分別包括餘弦形式分量I與正弦形式分量Q。在一個實施例中,該數位調變訊號的同相分量的源包括第一RAM,該第一RAM包含該餘弦形式分量I的連續取樣;該數位調變訊號的該正交分量的該源包括第二RAM,該第二RAM包含該正弦形式分量Q的連續取樣;及低時脈指針,該低時脈指針指向I與Q的該等連續取樣而與該慢速旋轉頻率同步。 In one embodiment, the in-phase and quadrature components comprise a cosine form component I and a sinusoidal form component Q, respectively. In one embodiment, the source of the in-phase component of the digital modulation signal includes a first RAM, the first RAM including consecutive samples of the cosine form component I; the source of the orthogonal component of the digital modulation signal includes A second RAM comprising consecutive samples of the sinusoidal form component Q; and a low clock hand pointing to the consecutive samples of I and Q in synchronization with the slow rotational frequency.

在一個實施例中,上轉換器具有等於該微波頻率的一輸出頻率。 In one embodiment, the upconverter has an output frequency equal to the microwave frequency.

在一個實施例中,每個該組合器函數經調整以產生該訊號的乘積在其輸入處。 In one embodiment, each of the combiner functions is adjusted to produce a product of the signal at its input.

在一個實施例中,角度為90度。 In one embodiment, the angle is 90 degrees.

在一個實施例中,電漿反應器進一步包括使用者介面,該使用者介面允許使用者指定慢速旋轉頻率。在一個實施例中,使用者介面進一步允許使用者指定個別微波輸出之間的相位差。 In one embodiment, the plasma reactor further includes a user interface that allows the user to specify a slow rotational frequency. In one embodiment, the user interface further allows the user to specify a phase difference between the individual microwave outputs.

根據進一步的態樣,在電漿反應器中,圓柱形微波凹孔在工件處理腔室之上,且圓柱形微波凹孔的壁中之第一與第二耦接孔以一角度分隔開。微波源具有一微波頻率且包括耦接至該第一與第二耦接孔中的相應各者之個別微波輸出,微波源進一步包含數位調變訊號的同相分量2-A與正交分量2-B的源,該數位調變訊號具有對應於慢速旋轉頻率的一頻率;數位轉類比的轉換器,該數位轉類比的轉換器經耦接以接收該同相與正交分量2-A與2-B,且具有相對應的類比輸出2-Iin與2-Qin;及上轉換器,該上轉換器包含:(a)第一組合器函數,該第一組合器函數對應於恆定訊號A與微波頻率的同相分量之乘積,及耦接至微波輸出中之第一個微波輸出;(b)第二組合器函數,該第二組合器函數對應於類比輸出2-Iin與微波頻率的同相分量之乘積;(c)第三組合器輸出,該第三組合器輸出對應於類比輸出 2-Qin與微波頻率的正交分量之乘積,及加法器,該加法器包含第二與第三組合器輸出及耦接至該等微波輸出中的第二個微波輸出的和數輸出。 According to a further aspect, in the plasma reactor, the cylindrical microwave recess is above the workpiece processing chamber, and the first and second coupling holes in the wall of the cylindrical microwave recess are separated by an angle . The microwave source has a microwave frequency and includes an individual microwave output coupled to a respective one of the first and second coupling holes, the microwave source further comprising an in-phase component 2-A and a quadrature component 2 of the digital modulation signal a source of B, the digital modulation signal having a frequency corresponding to a slow rotational frequency; a digital to analog converter coupled to receive the in-phase and quadrature components 2-A and 2 -B, and having a corresponding analog output 2-Iin and 2-Qin; and an up converter comprising: (a) a first combiner function corresponding to a constant signal A and a product of the in-phase component of the microwave frequency and coupled to the first microwave output in the microwave output; (b) a second combiner function corresponding to the in-phase component of the analog output 2-Iin and the microwave frequency Product of (c) third combiner output, the third combiner output corresponding to analog output a product of 2-Qin and a quadrature component of the microwave frequency, and an adder comprising a sum output of the second and third combiner outputs and a second microwave output coupled to the microwave outputs.

在一個實施例中,同相與正交分量分別包括餘弦形式分量I與正弦形式分量Q。在一個實施例中,該數位調變訊號的同相分量的源包括第一RAM,該第一RAM包含該餘弦形式分量I的連續取樣;該數位調變訊號的該正交分量的該源包括第二RAM,該第二RAM包含該正弦形式分量Q的連續取樣;及低時脈指針,該低時脈指針指向I與Q的該等連續取樣而與該慢速旋轉頻率同步。 In one embodiment, the in-phase and quadrature components include a cosine form component I and a sinusoidal form component Q, respectively. In one embodiment, the source of the in-phase component of the digital modulation signal includes a first RAM, the first RAM including consecutive samples of the cosine form component I; the source of the orthogonal component of the digital modulation signal includes A second RAM comprising consecutive samples of the sinusoidal form component Q; and a low clock hand pointing to the consecutive samples of I and Q in synchronization with the slow rotational frequency.

一種產生一微波頻率的一旋轉微波場於凹孔中的方法,該凹孔具有以一角度偏置的一對微波注入口,該方法包括以下步驟:產生對應於慢速旋轉頻率的一頻率的調變訊號之同相與正交分量中的至少一個;產生該調變訊號的同相和正交分量與微波頻率的同相分量或正交分量中的至少一個之組合以及自該等組合中產生一對輸出訊號,並將該對輸出訊號施用於該對微波注入口。 A method of generating a rotating microwave field of a microwave frequency in a recess having a pair of microwave injection ports offset at an angle, the method comprising the steps of: generating a frequency corresponding to a slow rotational frequency Combining at least one of an in-phase and a quadrature component of the modulated signal; generating a combination of the in-phase and quadrature components of the modulated signal and at least one of an in-phase component or a quadrature component of the microwave frequency and generating a pair from the combinations The signal is output and the pair of output signals are applied to the pair of microwave injection ports.

在一個實施例中,該生產組合的步驟包括產生:調變訊號的同相分量與微波頻率的同相分量之第一乘積,及調變訊號的正交分量與微波頻率的正交分量之第二乘積。 In one embodiment, the step of producing the combination includes: generating a first product of an in-phase component of the modulated signal and an in-phase component of the microwave frequency, and a second product of a quadrature component of the modulated signal and a quadrature component of the microwave frequency .

在一個實施例中,該方法進一步包括以下步驟之一:(a)將第一與第二乘積相加以產生一對輸出訊號,或(b)提供第一與第二乘積作為該對輸出訊號。 In one embodiment, the method further comprises one of the steps of: (a) adding the first and second products to produce a pair of output signals, or (b) providing the first and second products as the pair of output signals.

在一個實施例中,上述方法是通過經程式化以執行該方法的電腦所實施的。 In one embodiment, the above method is implemented by a computer that is programmed to perform the method.

100‧‧‧電漿反應器 100‧‧‧ plasma reactor

110‧‧‧處理腔室 110‧‧‧Processing chamber

111‧‧‧側壁 111‧‧‧ side wall

112‧‧‧工件支撐件 112‧‧‧Workpiece support

114‧‧‧工件 114‧‧‧Workpiece

120‧‧‧微波凹孔 120‧‧‧Microwave recess

121a‧‧‧側壁 121a‧‧‧ Sidewall

121b‧‧‧頂板 121b‧‧‧ top board

122‧‧‧底板 122‧‧‧floor

124‧‧‧溝槽 124‧‧‧ trench

130‧‧‧介電板 130‧‧‧ dielectric board

Set-1‧‧‧微波模組 Set-1‧‧‧Microwave Module

Set-2‧‧‧微波模組 Set-2‧‧‧Microwave Module

340‧‧‧雙數位相位與波幅產生器 340‧‧‧Double-digit phase and amplitude generator

350‧‧‧放大器 350‧‧‧Amplifier

352‧‧‧循環器 352‧‧‧Circulator

354‧‧‧調諧器 354‧‧‧ Tuner

356‧‧‧傳輸線 356‧‧‧ transmission line

358‧‧‧同軸波導變壓器 358‧‧‧Coaxial waveguide transformer

360‧‧‧耦接孔 360‧‧‧ coupling hole

362‧‧‧虛擬負載 362‧‧‧Virtual load

600‧‧‧PLL模組 600‧‧‧PLL module

602‧‧‧電腦 602‧‧‧ computer

604‧‧‧FPGA 604‧‧‧FPGA

606‧‧‧上轉換器 606‧‧‧Upconverter

607-1‧‧‧DDUP IC 607-1‧‧‧DDUP IC

607-2‧‧‧DDUP IC 607-2‧‧‧DDUP IC

608‧‧‧數位轉類比轉換器(DAC) 608‧‧‧Digital to analog converter (DAC)

610‧‧‧記憶體 610‧‧‧ memory

612‧‧‧記憶體 612‧‧‧ memory

620‧‧‧記憶體 620‧‧‧ memory

622‧‧‧記憶體 622‧‧‧ memory

623‧‧‧記憶體 623‧‧‧ memory

630‧‧‧數位乘法器 630‧‧‧Digital Multiplier

640‧‧‧數位乘法器 640‧‧‧Digital Multiplier

660‧‧‧數位乘法器 660‧‧‧Digital Multiplier

662‧‧‧數位乘法器 662‧‧‧Digital Multiplier

663‧‧‧數位乘法器 663‧‧‧Digital Multiplier

644‧‧‧加法器 644‧‧‧Adder

720‧‧‧記憶體 720‧‧‧ memory

722‧‧‧記憶體 722‧‧‧ memory

802‧‧‧混合器 802‧‧‧ Mixer

804‧‧‧混合器 804‧‧‧ Mixer

806‧‧‧加法器 806‧‧‧Adder

810‧‧‧開口 810‧‧‧ openings

820‧‧‧輔助點火電極 820‧‧‧Auxiliary ignition electrode

830‧‧‧RF源 830‧‧‧RF source

本發明的示範實施例已簡要概述於前,並在以下有更詳盡之討論,可以藉由參考所附圖式中繪示之本發明實施例以作瞭解。應當理解的是,為了不混淆本發明,特定習知的處理過程未於本說明書作討論。 The exemplary embodiments of the present invention have been briefly described in the foregoing and are in the It should be understood that the particular prior art processes are not discussed in this specification in order not to obscure the invention.

圖1A是一個實施例中採用的反應器之正視圖。 Figure 1A is a front elevational view of a reactor employed in one embodiment.

圖1B是對應於圖1A的平面圖。 Fig. 1B is a plan view corresponding to Fig. 1A.

圖1C繪示包括點火電極(ignition electrode)的圖1B的實施例之調整(modification)。 FIG. 1C illustrates the modification of the embodiment of FIG. 1B including an ignition electrode.

圖2是一個實施例中系統的方塊圖。 Figure 2 is a block diagram of the system in one embodiment.

圖3是圖2系統中的訊號處理元件之方塊圖。 3 is a block diagram of a signal processing component of the system of FIG. 2.

圖4是圖3系統的部分之方塊圖。 Figure 4 is a block diagram of a portion of the system of Figure 3.

圖5A至圖5H繪示針對使用者所選耦接至圓形凹孔的兩個微波訊號之間的不同相位角Φ值之微波場行為。 5A-5H illustrate microwave field behavior for different phase angles Φ values between two microwave signals coupled to a circular recess by a user.

圖6是根據第二實施例的圖3系統的部分之方塊圖。 Figure 6 is a block diagram of a portion of the system of Figure 3 in accordance with a second embodiment.

圖7是根據第三實施例的圖3系統的部分之方塊圖。 Figure 7 is a block diagram of a portion of the system of Figure 3 in accordance with a third embodiment.

圖8是使用直接數位上轉換以產生旋轉微波場的系統之方塊圖。 Figure 8 is a block diagram of a system that uses direct digital up-conversion to generate a rotating microwave field.

圖8A是常見於圖8系統中採用的DDUP IC之功能函數的簡化方塊圖。 Figure 8A is a simplified block diagram of the functional functions of the DDUP IC commonly employed in the system of Figure 8.

圖9是經配置用於波幅調變的圖8系統的FPGA的方塊圖。 9 is a block diagram of an FPGA of the system of FIG. 8 configured for amplitude modulation.

圖10是經配置用於相位調變的圖8系統的FPGA的方塊圖。 10 is a block diagram of an FPGA of the system of FIG. 8 configured for phase modulation.

圖11是經配置用於同步(simultaneous)慢速和快速旋轉模式的圖8系統的FPGA的方塊圖。 11 is a block diagram of an FPGA of the system of FIG. 8 configured for simultaneous slow and fast rotation modes.

為便於理解,在可能的情況下,使用相同的數字編號代表圖示中相同的元件。可以預期,一個實施例中的元件與特徵可有利地用於其它實施例中而無需贅述。然而,值得注意的是,所附圖式只繪示了本發明的示範實施例,而由於本發明可允許其他等效之實施例,所附圖式並不會視為本發明範圍之限制。 For the sake of understanding, the same reference numerals will be used to refer to the same elements in the drawings. It is contemplated that elements and features of one embodiment may be advantageously utilized in other embodiments without further recitation. It is to be understood, however, that the invention is not limited by the scope of the invention.

為了解決高腔室壓力下電漿均勻性的問題,在高腔室壓力下電漿無法跟隨(follow)微波場的快速旋轉,下面描述的實施例提供微波凹孔激發的新模式。第一模式是藉由波幅調變激發慢速旋轉模式。第二模式是由相位調變激發慢速脈動(slow pulsing)模式。 在這些模式中,調變頻率可以是任意低,通常為0.1-1000Hz,其相當於1ms-10s的旋轉週期。在這樣低的旋轉頻率下,在高壓腔室壓力下的局部電漿可以跟隨旋轉,因而能夠使電漿離子密度有均勻分佈。 To address the problem of plasma uniformity at high chamber pressures, the plasma cannot follow the rapid rotation of the microwave field at high chamber pressures, and the embodiments described below provide a new mode of microwave cavity excitation. The first mode is to stimulate the slow rotation mode by amplitude modulation. The second mode is to stimulate the slow pulsing mode by phase modulation. In these modes, the modulation frequency can be arbitrarily low, typically 0.1-1000 Hz, which is equivalent to a rotation period of 1 ms - 10 s. At such low rotational frequencies, the local plasma at the high pressure chamber pressure can follow the rotation, thereby enabling a uniform distribution of plasma ion density.

圖1A是電漿反應器100的簡化側視圖,電漿反應器100包括處理腔室110與工件支撐件112,處理腔室110由壁111圍繞及在真空壓力下內含氣體,工件支撐件112用於支撐工件114。在處理腔室110上的圓柱形凹孔120由側壁121a、頂板121b與底板122包圍,底板122具有圖1B所示的溝槽124。壁121a和111可以藉由金屬結構連接,這取決於應用。介質板130提供底板122下的真空密封件。介電板130最好由對微波輻射透明的材料形成。圖1C繪示一個實施例,其中底板122具有開口810且用真空密封件(未示出)將輔助點火電極820設置在開口810中。輔助點火電極820由範圍為100Hz-10MHz的RF頻率的RF源830驅動。RF源830可包括阻抗匹配(未示出)。底板122與(或)處理腔室110的壁111可以作為相對於輔助點火電極820的接地平面之功能。或者,輔助點火電極可藉由提供額外的開口與真空密封件而設置於壁111上。電極820與接地平面僅藉由開口810分離。總而言之,輔助點火電極820與接地平面(即底板122與(或)凹孔110的壁111)一起形成電容耦接RF點燃電路,以幫助最終由微波功率維持的電漿點火。 1A is a simplified side view of a plasma reactor 100 including a processing chamber 110 and a workpiece support 112 surrounded by a wall 111 and containing gas under vacuum pressure, workpiece support 112 Used to support the workpiece 114. The cylindrical recess 120 in the processing chamber 110 is surrounded by a side wall 121a, a top plate 121b and a bottom plate 122 having a groove 124 as shown in Fig. 1B. Walls 121a and 111 can be joined by a metal structure, depending on the application. The dielectric plate 130 provides a vacuum seal under the bottom plate 122. Dielectric plate 130 is preferably formed of a material that is transparent to microwave radiation. FIG. 1C illustrates an embodiment in which the bottom plate 122 has an opening 810 and the auxiliary ignition electrode 820 is disposed in the opening 810 with a vacuum seal (not shown). The auxiliary ignition electrode 820 is driven by an RF source 830 having an RF frequency ranging from 100 Hz to 10 MHz. RF source 830 can include impedance matching (not shown). The bottom plate 122 and/or the wall 111 of the processing chamber 110 can function as a ground plane relative to the auxiliary ignition electrode 820. Alternatively, the auxiliary ignition electrode can be disposed on the wall 111 by providing an additional opening and vacuum seal. The electrode 820 is separated from the ground plane by only the opening 810. In summary, the auxiliary ignition electrode 820, together with the ground plane (i.e., the bottom plate 122 and/or the wall 111 of the recess 110), forms a capacitively coupled RF ignition circuit to assist in plasma ignition that is ultimately maintained by microwave power.

圖2表示注入圓柱形凹孔120的雙微波系統。兩個相同的微波模組Set-1與Set-2以空間上正交的位置(P和Q)而連接到圓柱形凹孔120。模組Set-1和Set-2的相對端連接到雙數位相位與波幅產生器340。雙數位相位與波幅產生器340分別提供微波種子訊號(seed signals)RF1out與RF2out到模組Set1與Set2。在每個模組Set-1與Set-2中,放大器350放大種子訊號,且種子訊號被傳送到循環器352和調諧器354(通常為3短線調諧器(3-stub tuner)),以用於阻抗匹配。同軸傳輸線356將來自放大器350的輸出之微波功率傳導至調諧器354。在這個實例中,同軸波導(coaxial-to-waveguide)變壓器358插入於調諧器354與圓柱形凹孔120的耦接孔360之間。然而,如果採用電桿(pole)或環形天線而不採用耦接孔,則不需要變壓器358。虛擬負載(dummy load)362連接到循環器352的一個埠,在該埠中反射的功率可被卸載(dumped)以保護放大器350。通過各模組Set-1與Set-2的耦接孔360而將微波引入圓柱形凹孔120中,並激發圓柱形凹孔120中的TE111模式。在圖2中,θ表示方位座標,其中在點P處θ=0,而在Q處θ=π/2。φ表示微波種子訊號RF2out參照微波種子訊號RF1out的時間相位角差。 Figure 2 shows a dual microwave system for injecting a cylindrical recess 120. Two identical microwave modules Set-1 and Set-2 are connected to the cylindrical recess 120 at spatially orthogonal positions (P and Q). The opposite ends of the modules Set-1 and Set-2 are connected to the dual digital phase and amplitude generator 340. The dual digital phase and amplitude generator 340 provides seed signals RF1out and RF2out to the modules Set1 and Set2, respectively. In each of the modules Set-1 and Set-2, the amplifier 350 amplifies the seed signal, and the seed signal is transmitted to the circulator 352 and the tuner 354 (usually a 3-stub tuner) for use. For impedance matching. Coaxial transmission line 356 conducts microwave power from the output of amplifier 350 to tuner 354. In this example, a coaxial-to-waveguide transformer 358 is interposed between the tuner 354 and the coupling hole 360 of the cylindrical recess 120. However, if a pole or loop antenna is used instead of a coupling hole, a transformer 358 is not required. A dummy load 362 is coupled to a turn of circulator 352 in which the reflected power can be dumped to protect amplifier 350. Microwaves are introduced into the cylindrical recess 120 through the coupling holes 360 of the respective modules Set-1 and Set-2, and the TE 111 mode in the cylindrical recess 120 is excited. In Fig. 2, θ represents an azimuth coordinate, where θ =0 at point P and θ = π /2 at Q. φ represents the time phase angle difference of the microwave seed signal RF2out with reference to the microwave seed signal RF1out.

藉由波幅調變激發慢速旋轉模式: The slow rotation mode is excited by amplitude modulation:

可以藉由對雙數位相位與波幅產生器340的給定角頻率ω之圓柱形凹孔120的半徑與高度作適當選擇而提供TE111模式。當微波在此狀態下通過P處的耦接孔時,順時針與逆時針旋轉的波以相同機率被同時發射。可以使用第一類(first kind)的貝索函數(Bessel function)J1將在位置(r、θ、z)處的TE111模式的軸向磁場分量H z 寫為H z =A[cos(θ-ωt)+cos(θ+ωt)]J 1(κr)cos(βz) (1)其中A是波幅,β是凹孔高度決定的軸向波數,κ是由定義的徑向波數。考慮r與z的固定位置,方程式(1)可以用標準形式重寫為η P =a[cos(θ-ωt)+cos(θ+ωt)]=2a cosθ cosωt (2)。 The TE 111 mode can be provided by appropriate selection of the radius and height of the cylindrical recess 120 of the given angular frequency ω of the dual digit phase and amplitude generator 340. When the microwave passes through the coupling hole at P in this state, the clockwise and counterclockwise rotation waves are simultaneously emitted at the same probability. The axial magnetic field component H z of the TE 111 mode at the position (r, θ , z) can be written as H z = A [ cos (the first kind) Bessel function J 1 θ - ωt )+ cos ( θ + ωt )] J 1 ( κr )cos( βz ) (1) where A is the amplitude, β is the axial wave number determined by the height of the concave hole, and κ is The defined radial wave number. Considering the fixed positions of r and z, equation (1) can be rewritten as η P = a [ cos ( θ - ωt ) + cos ( θ + ωt )] = 2 a cos θ cosωt (2) in a standard form.

以相同的方法,自位置Q處的耦接孔發射的波帶有相位延遲φ而可以被寫為:η Q =b[sin(θ-ωt+φ-π/2)+cos(θ+ωt-φ-π/2)]=2b sinθ cos(ωt-φ) (3)。 In the same way, the wave emitted from the coupling hole at position Q has a phase delay φ and can be written as: η Q = b [ sin ( θ - ωt + φ - π /2) + cos ( θ + ωt - φ - π /2)] = 2 b sin θ cos( ωt - φ ) (3).

在載波頻率ω同相注入(φ=0)的情況下,來自P與Q的同步雙注入產生所得的場(resultant field):η=η P +η Q =2(a cosθ+b sinθ)cosωt (4)。 In the case of carrier frequency ω in-phase injection (φ = 0), the resulting double field from P and Q produces a resulting field: η = η P + η Q = 2 ( a cos θ + b sin θ ) cosωt ( 4).

對於慢速旋轉,波幅a與b以低角頻率Ωa(<<ω)調變為a=c cosΩ a t (5) For slow rotation, the amplitudes a and b are adjusted to a = c cos Ω a t (5) at a low angular frequency Ω a (< ω )

b=c cos b t-γ) (6)其中γ是該調變中的相位差。 接著方程式(4)簡化為:η=A cos(Ωa t+ψ)cos ωt (7)其中波幅A與相位ψ由以下方程式者給定 b = c cos b t - γ ) (6) where γ is the phase difference in the modulation. Then equation (4) reduces to: η = A cos (Ω a t + ψ) cos ωt (7) where the amplitude A and phase [Psi] are given by the following equation

γ=π/2(正的正交(positive quadrature))的特殊情況下,一個較簡單的關係式適用:η=2c cos(θa t)cos ωt (10)。在γ=-π/2(負的正交(negative quadrature))的情況下,方程式(7)、(8)與(9)簡化為類似的關係式:η=2c cos(θa t)cos ωt (11)。方程式(10)和(11)分別表示在低調變頻率Ωa的順時針和逆時針旋轉。 In the special case of γ = π/2 (positive quadrature), a simpler relation applies: η = 2 c cos( θ - Ω a t )cos ωt (10). In the case of γ = -π/2 (negative quadrature), equations (7), (8) and (9) are reduced to a similar relationship: η = 2 c cos( θ + Ω a t )cos ωt (11). Equations (10) and (11) represent clockwise and counterclockwise rotations at a low modulation frequency Ω a , respectively.

前面的描述是基於軸向磁分量H z 提供。然而,磁場的所有其它分量以及電場隨H z 旋轉。 The foregoing description is provided based on the axial magnetic component H z. However, all other components of the electric field and the magnetic field rotates with H z.

為了激發方程式10(或方程式11)所代表的順時針旋轉的波,自P和Q發射的波應具有分別正比於方程式5與方程式6的形式且具有載波角頻率ωγ=π/2(或-π/2):ζ p =α cosΩa t cos ωt (12)和ζ Q α sinΩat cos ωt (13) 圓柱形凹孔120內的波場隨著角頻率Ωa旋轉,方向(順時針或逆時針)取決於方程式(13)的正負號。針對Ω引入初始相位φ l 及針對ω引入初始相位φ h ,方程式(12)與(13)可以用更一般式表示為ζ P =α cos(Ωa t+φ l )cos(ωt+φ h )和ζ Q α sin(Ωa t+φ l )cos(ωt+φ h )其中φ l 與φ h 為任意初始相位。在不失一般性下,在本說明書的其餘部分φ l 設定為0,提供以下簡化:ζ P =α cosΩa t cos(ωt+φ h ) (14) In order to excite the clockwise rotation of the wave represented by Equation 10 (or Equation 11), the waves emitted from P and Q should have a form proportional to Equation 5 and Equation 6, respectively, and have a carrier angular frequency ω and γ = π/2 ( Or -π/2): ζ p = α cosΩ a t cos ωt (12) and ζ Q = ± α sinΩ a t cos ωt (13) The wave field in the cylindrical recess 120 rotates with the angular frequency Ω a , The direction (clockwise or counterclockwise) depends on the sign of equation (13). Introducing the initial phase φ l for Ω and the initial phase φ h for ω , equations (12) and (13) can be expressed by the more general formula ζ P = α cos(Ω a t + φ l )cos( ωt + φ h And ζ Q = ± α sin(Ω a t + φ l )cos( ωt + φ h ) where φ l and φ h are arbitrary initial phases. Without loss of generality, φ l is set to 0 in the rest of the specification, providing the following simplification: ζ P = α cosΩ a t cos( ωt + φ h ) (14)

ζ Q α sinΩa t cos(ωt+φ h ) (15) ζ Q = ± α sinΩ a t cos( ωt + φ h ) (15)

傳統的類比波幅調變器可以產生由方程式(14)和(15)表示的輸入訊號。然而,在這樣的類比調變器中,改變旋轉頻率是很難的。為了解決此問題,本說明的實施例使用數位控制器(如使用不同隨機存取記憶體(RAM)的現場可程式邏輯閘陣列(FPGA)),以產生所需的波形。然而,為了實現數位控制器中的方程式(14)和(15),sinΩat與cos(ωt+φ h )之間的時間尺度差應慎重考慮。否則,可能需要不必要的大量RAM來實現cosΩat與sinΩat項。 Conventional analog amplitude modulators can produce input signals represented by equations (14) and (15). However, in such an analog modulator, changing the rotation frequency It is very difficult. To address this problem, the illustrated embodiment uses a digital controller (such as a field programmable logic gate array (FPGA) using different random access memory (RAM)) to generate the desired waveform. However, in order to implement equations (14) and (15) in the digital controller, the time scale difference between sinΩ a t and cos(ωt + φ h ) should be carefully considered. Otherwise, an unnecessarily large amount of RAM may be required to implement the cosΩ a t and sin Ω a t terms.

雙數位相位與波幅產生器340產生提供給模組Set1與Set2的微波訊號RF1out與RF2out。根據一個實施例,波幅產生器340的內部結構由圖3的方塊圖所表示。圖3的以下說明係參照方程式(14)與(15), 但為了簡化起見,只有考慮對應正號的方程式(15)的版本。系統控制時脈f sys與上轉換頻率f mixRef產生於PLL(相位鎖定迴路)模組600中。經由使用者介面輸入使用者所選的與方程式(14)和(15)相關之φ h Bf Ω值,使用者介面可實施為電腦或PC 602,其中B正比於α。這些數據被傳輸到f sys驅動的FPGA(現場可程式邏輯閘陣列)604。FPGA 604以下述的方式產生兩個數位訊號,中頻的in1與in2。數位訊號in1與in2分別被傳輸到DAC(數位轉類比轉換器)608。DAC608分別將數位訊號in1與in2轉換為B cosΩ a t cos(ω if t+φ h )B sinΩ a t cos(ω if t+φ h ).界定的類比IF(中頻)訊號。中間角頻率是ω if =2πf if 。上轉換器612使用上轉換頻率f mixRef 將兩個類比IF訊號B cosΩ a t cos(ω if t+φ h )與B sinΩ a t cos(ω if t+φ h ).上轉換為微波角頻率ω=2πf,以產生方程式(14)與(15)的輸出訊號。這些輸出訊號在圖3中被標記為RFout1和RFout2,且耦接通過相對應的模組Set-1和Set-2到圖2中圓柱形凹孔120的位置P與Q處相對應的耦接孔360。 The dual digital phase and amplitude generator 340 generates microwave signals RF1out and RF2out that are provided to the modules Set1 and Set2. According to one embodiment, the internal structure of the amplitude generator 340 is represented by the block diagram of FIG. The following description of Fig. 3 refers to equations (14) and (15), but for the sake of simplicity, only the version of equation (15) corresponding to the positive sign is considered. The system control clock f sys and the up-conversion frequency f mixRef are generated in the PLL (phase locked loop) module 600. The φ h , B , f Ω values associated with equations (14) and (15) selected by the user are entered via the user interface, and the user interface can be implemented as a computer or PC 602, where B is proportional to a. This data is transferred to an f sys driven FPGA (Field Programmable Logic Gate Array) 604. The FPGA 604 generates two digital signals, in1 and in2 of the intermediate frequency, in the following manner. The digital signals in1 and in2 are transmitted to a DAC (Digital to Analog Converter) 608, respectively. DAC608 converts digital signals in1 and in2 to B cos Ω a t cos ( ω if t + φ h ) Analog IF (intermediate frequency) signal defined by B sin Ω a t cos ( ω if t + φ h ). The intermediate angular frequency is ω if = 2 πf if . Upconverter 612 upconverts two analog IF signals B cos Ω a t cos ( ω if t + φ h ) and B sin Ω a t cos ( ω if t + φ h ) into microwaves using upconversion frequency f mixRef The angular frequency ω = 2 πf to produce the output signals of equations (14) and (15). These output signals are labeled RFout1 and RFout2 in FIG. 3, and are coupled to the corresponding positions at the positions P and Q of the cylindrical recess 120 in FIG. 2 through the corresponding modules Set-1 and Set-2. Hole 360.

圖4是FPGA 604的一個實施例之方塊圖。RAM 610使用系統控制時脈f sys 產生第一數位IF載波 ,其中N sys =2 n 係載波模數(modulus)而n sys 係載波的計數(count of the carrier wave)。n的值由使用者選擇,且n一般可在5至7的範圍內。 4 is a block diagram of one embodiment of an FPGA 604. The RAM 610 generates a first digital IF carrier using the system control clock f sys Where N sys = 2 n is the carrier modulus and n sys is the carrier of the carrier. The value of n is chosen by the user, and n can generally be in the range of 5 to 7.

RAM 620與622使用對應於所需的低頻旋轉之一頻率f lclk (=N lclk f Ω)的低時脈來產生微波場的慢速 旋轉所需要的波幅調變波。在一個實施例中,f lclk =N lclk f Ω。一般來說,N lclk =2 m 。整數m是任意數。一個典型的選擇是N sys =2 n =N lclk The RAMs 620 and 622 use a low clock corresponding to one of the desired low frequency rotations f lclk (= N lclk f Ω ) to generate the amplitude modulated waves required for the slow rotation of the microwave field. In one embodiment, f lclk = N lclk f Ω . In general, N lclk = 2 m . The integer m is an arbitrary number. A typical choice is N sys = 2 n = N lclk .

RAM 620產生具有慢速波計數n lclk 及慢速波模數N lclk 的一餘弦形式(同相)分量I為 The RAM 620 generates a cosine form (in-phase) component I having a slow wave count n lclk and a slow wave modulus N lclk

低時脈計數n lclk 為指向儲存I的連續取樣之RAM 620中的連續位置之位址指針的函數。 The low clock count n lclk is a function of the address pointer to successive locations in the RAM 620 that stores consecutive samples of I.

RAM 622產生根據低時脈計數n lclk 與低時脈模數N lclk 的一正弦形式(正交)分量,Q,為 The RAM 622 generates a sinusoidal (orthogonal) component according to the low clock count n lclk and the low clock modulus N lclk , Q,

低時脈計數n lclk 為指向儲存Q的連續取樣之RAM 622中的連續位置之位址指針的函數。 The low clock count n lclk is a function of the address pointer to successive locations in the RAM 622 that stores consecutive samples of Q.

數位乘法器630組合餘弦形式分量I與來自RAM 610的數位IF載波,以產生數位訊號in1。數位乘法器630組合正弦形式分量Q與來自RAM 610的數位IF載波,以產生數位訊號in2。 The digital multiplier 630 combines the cosine form component I with the digital IF carrier from the RAM 610 to produce a digital signal in1. The digital multiplier 630 combines the sinusoidal form component Q with the digital IF carrier from the RAM 610 to produce a digital signal in2.

如以上參照圖3所述,在DAC 608分別將數位訊號in1和in2轉換為B cosΩ a t cos(ω if t+φ h )與B sinΩ a t cos(ω if t+φ h )定義的類比IF(中頻)訊號。如以上參照圖3所述,上轉換器606將數位IF訊號上轉換為相對應的微波訊號RF1out和RF2out。微波訊號RF1out和RF2out耦接至圖2的圓柱形凹孔120。 As described above with reference to FIG. 3, the DAC 608 converts the digital signals in1 and in2 into B cos Ω a t cos ( ω if t + φ h ) and B sin Ω a t cos ( ω if t + φ h ), respectively. Analog IF (intermediate frequency) signal. As described above with reference to FIG. 3, the upconverter 606 upconverts the digital IF signal to the corresponding microwave signals RF1out and RF2out. The microwave signals RF1out and RF2out are coupled to the cylindrical recess 120 of FIG.

藉由相位調變激發慢速旋轉和振盪模式: The slow rotation and oscillation modes are excited by phase modulation:

考慮方程式(2)與(3)中的恆定波幅a=b的情況,所得的場變成:η=η P +η Q =2a[cos θ cos ωt+sinθ cos(ωt-φ)] (16)。在特殊的情況下,方程式(16)簡化為η=2a cos(θ ωt). (17)。 Considering the case where the constant amplitude a = b in equations (2) and (3), the resulting field becomes: η = η P + η Q = 2 a [cos θ cos ωt + sin θ cos( ωt - φ )] (16 ). in In special cases, equation (16) is reduced to η = 2 a cos( θ Ωt ). (17).

方程式(17)表示微波頻率ω的圓形順時針/逆時針旋轉。在此情況下,經由考慮耦合效應,在P和Q處進入的微波在方程式(12)和(13)中分別表示為ζ P =α cos(ωt+φ h ) (17-2)和ζ Q α sin(ωt+φ h ) (17-3)。在任意相位φ的情況中,方程式(16)可以簡化為η=C cos(ωt+ψ) (18)其中 Equation (17) represents a circular clockwise/counterclockwise rotation of the microwave frequency ω . In this case, by considering the coupling effect, the microwaves entering at P and Q are expressed in equations (12) and (13) as ζ P = α cos( ωt + φ h ) (17-2) and ζ Q, respectively. α sin( ωt + φ h ) (17-3). In the case of any phase φ, equation (16) can be simplified as η = C cos ( ωt + ψ ) (18) with

可藉由引入以下方程式將線性相位調變引入方程式(18)-(20):φ p t (其中Ω p <<ω) (21)。在此情況下,φ隨時間斜線上升(ramped),及示於方程式(19)中的波幅C表示在極座標中對於圖5A至5H所示的連續φ值之微波場的分佈。從圖5A至5H中,可以 看出,當φ隨著時間斜線上升時,所得到的微波場分佈於轉動和振盪之間依次交替。 Linear phase modulation can be introduced into equations (18)-(20) by introducing the following equation: φ = Ω p t (where Ω p << ω ) (21). In this case, φ is ramped with time, and the amplitude C shown in equation (19) represents the distribution of the microwave field in the polar coordinates for the continuous φ values shown in Figs. 5A to 5H. From Figs. 5A to 5H, it can be seen that when φ rises obliquely with time, the resulting microwave field distribution alternates between rotation and oscillation in order.

藉由驅動以下訊號的圖2的位置P與Q處的微波輸入獲得Ω p 旋轉頻率下的振盪與慢速旋轉:ζ P =α cos(ωt+φ h ) (22)和ζ Q =α cos(ωt+φ h p t)=α[cos(ωt+φ h )cosΩ p t+sin(ωt+φ h )sinΩ p t] (23) (23)在這種情況下,凹孔中的波以頻率Ω p 交替振盪和旋轉,而產生一脈動模式。 The oscillation and slow rotation at the Ω p rotation frequency are obtained by driving the microwave inputs at positions P and Q of Fig. 2 of the following signals: ζ P = α cos( ωt + φ h ) (22) and ζ Q = α cos ( ωt + φ h - Ω p t ) = α [cos( ωt + φ h ) cos Ω p t + sin( ωt + φ h ) sin Ω p t ] (23) (23) In this case, concave The waves in the holes alternately oscillate and rotate at a frequency Ω p to produce a pulsating mode.

傳統的類比相位調變實施方程式(22)。然而,Ω p 的選擇是有限的。在方程式(22)和(23)的數位實施中,ω與Ω p 之間的時間尺度差應予以考慮。為了產生方程式(22)和(23)的訊號,圖3的FPGA 604具有圖6所示的內部結構,其為圖4結構的變化。在圖6中,RAM 610、620和622以上面參考圖4所述的方式運作。圖6的RAM 623提供常數a。圖6實施例中額外的RAM 612使用系統控制時脈,f sys ,以產生第二數位IF載波: 其中N sys =2 n 是載波模數而n sys 是載波的計數。 The traditional analog phase modulation implementation equation (22). However, the choice of Ω p is limited. In the digital implementation of equations (22) and (23), the time scale difference between ω and Ω p should be considered. To generate the signals of equations (22) and (23), the FPGA 604 of FIG. 3 has the internal structure shown in FIG. 6, which is a variation of the structure of FIG. In Figure 6, RAMs 610, 620, and 622 operate in the manner described above with respect to Figure 4. The RAM 623 of Figure 6 provides a constant a. Example 6 Additional RAM 612 system control clock, f sys, to generate a second digital IF carrier: Where N sys = 2 n is the carrier modulus and n sys is the carrier count.

RAM 620與622儲存產生cosΩ p tsinΩ p t的方程式23所代表的線性調變之訊號,其中Ω p 係所需的慢速旋轉/振盪頻率。因為個別的調變訊號包含相對應的正弦 與餘弦項,所以該等個別的調變訊號係互為彼此的餘函數。 RAMs 620 and 622 store the linear modulation signals represented by Equation 23 which produces cos Ω p t and sin Ω p t , where Ω p is the desired slow rotation/oscillation frequency. Since the individual modulation signals contain corresponding sine and cosine terms, the individual modulation signals are mutually complementary functions.

RAM 610的輸出作為數位訊號in1使用。數位乘法器660與RAM 610和620一起的輸出相乘。數位乘法器662與RAM 612和622一起的輸出相乘。加法器664將數位乘法器660、662和663的乘積一起加起來,並提供所得到的總和作為數位訊號in2。數位轉類比轉換器608將因此所產生的數位訊號in1與in2轉換為相對應的類比訊號,該等相對應的類比訊號依以上參照圖4所述的方式處理而產生微波訊號RFout1與RFout2。三個模式的疊加(superposition):在上述中,已經描述三個模式:(1)具有角頻率ω作為載波頻率的快速旋轉模式(方程式(17-2)和(17-3));(b)具有角頻率Ω(Ω≪ω)的慢速旋轉模式((方程式(14)和(15));及(c)具有角頻率Ω p 其中Ω p ω的慢速脈動模式(方程式(22)和(23))。在方程式(14)與(15)的波幅調變中,例如,可針對常數μ改變波幅為(1+μ sinΩa t),並加上相位調變項-Ωpt,而產生下列幾組方程式:ζ P =α cosΩa t cos(ωt+φ h ) (24-1) The output of the RAM 610 is used as a digital signal in1. The digital multiplier 660 multiplies the outputs together with the RAMs 610 and 620. The digital multiplier 662 is multiplied by the outputs of the RAMs 612 and 622 together. The adder 664 adds together the products of the digital multipliers 660, 662, and 663, and supplies the obtained sum as the digital signal in2. The digital to analog converter 608 converts the generated digital signals in1 and in2 into corresponding analog signals, which are processed in the manner described above with reference to FIG. 4 to generate microwave signals RFout1 and RFout2. Superposition of three modes: In the above, three modes have been described: (1) a fast rotation mode having an angular frequency ω as a carrier frequency (equations (17-2) and (17-3)); (b) a slow rotation mode with angular frequency Ω(Ω≪ ω ) ((equations (14) and (15)); and (c) a slow pulsation mode with angular frequency Ω p where Ω p ω (equation (22) ) and (23)). In the amplitude modulation of equations (14) and (15), for example, the amplitude can be changed to (1 + μ sinΩ a t ) for the constant μ , and the phase modulation term - Ω p is added. t, and the following sets of equations are generated: ζ P = α cosΩ a t cos( ωt + φ h ) (24-1)

ζ Q α(1+μ sinΩ a t)cos(ωt+φ h p t) (24-2)此雙注入的類型包括上面提到的三個旋轉模式。當結合模式(a)和(b)時,圖6的FPGA被修改為圖7中所示的結構。 ζ Q = ± α (1 + μ sinΩ a t )cos( ωt + φ h - Ω p t ) (24-2) This type of double injection includes the three rotation modes mentioned above. When combining modes (a) and (b), the FPGA of Fig. 6 is modified to the structure shown in Fig. 7.

直接數位上轉換: Direct digital up conversion:

圖8至圖11繪示採用直接數位上轉換(DDUP)的實施例,其代替來自中頻的上轉換。在圖8至11的實施例中,不需要到中頻的任何轉換。現在所描述的是如何產生微波訊號RFout1和RFout2,其使用直接數位上轉換而被饋送至圖2的圓柱形凹孔120。圖8的FPGA 604經調整而合成較低頻率的數位訊號,微波場訊號RFout1和RFout2由該等較低頻率的數位訊號所產生。在圖8的實施例中,FPGA 604可以產生各較低頻率的波幅調變訊號之同相數位分量與正交數位分量。各波幅調變訊號是微波場訊號RFout1和RFout2中相對應的一個之前驅物(precursor)。 8 through 11 illustrate an embodiment employing direct digital up-conversion (DDUP) instead of up-conversion from an intermediate frequency. In the embodiment of Figures 8 to 11, no conversion to the intermediate frequency is required. What is now described is how to generate the microwave signals RFout1 and RFout2, which are fed to the cylindrical recess 120 of FIG. 2 using direct digital up-conversion. The FPGA 604 of FIG. 8 is adjusted to synthesize a lower frequency digital signal, and the microwave field signals RFout1 and RFout2 are generated by the lower frequency digital signals. In the embodiment of FIG. 8, FPGA 604 can generate in-phase digital components and quadrature digital components of the amplitude modulated signals of the lower frequencies. Each amplitude modulation signal is a corresponding precursor in the microwave field signals RFout1 and RFout2.

在圖8中,數位轉類比轉換器(DAC)608將低頻數位訊號轉換為類比訊號。DAC 608分別具有數位輸入1-A、1-B、2-A和2-B以及類比輸出1-Iin、1-Qin、2-Iin和2-Qin。在數位輸入1-A、1-B、2-A和2-B處的數位訊號分別被轉換為在類比輸出1-Iin、1-Qin、2-Iin和2-Qin處相對應的類比訊號。 In Figure 8, a digital to analog converter (DAC) 608 converts the low frequency digital signal into an analog signal. The DAC 608 has digital inputs 1-A, 1-B, 2-A, and 2-B, and analog outputs 1-Iin, 1-Qin, 2-Iin, and 2-Qin, respectively. The digital signals at the digital inputs 1-A, 1-B, 2-A, and 2-B are converted to analog signals corresponding to the analog outputs 1-Iin, 1-Qin, 2-Iin, and 2-Qin, respectively. .

對應於RFout1的數位同相分量對應到數位輸入1-A,而對應於RFout1數位正交分量對應到數位輸入1-B。同樣地,對應於RFout2的數位同相分量對應到數位輸入2-A,而相應於RFout2的數位正交分量對應到數位輸入2-B。 The digital in-phase component corresponding to RFout1 corresponds to digital input 1-A, and the horizontally corresponding component corresponding to RFout1 corresponds to digital input 1-B. Similarly, the digital in-phase component corresponding to RFout2 corresponds to digital input 2-A, and the digital orthogonal component corresponding to RFout2 corresponds to digital input 2-B.

兩個DDUP積體電路(DDUP IC)被用來將低頻波幅調變訊號直接上轉換為微波載波頻率ω。DDUP IC 607-1結合類比輸出1-Iin與微波頻率ω的同相分量,以產生第一乘積。DDUP IC 607-1進一步結合類比輸出1-Qin與微波頻率ω的正交分量,以產生第二乘積。DDUP IC 607-1將第一和第二乘積相加,以產生微波訊號RF1out。 Two DDUP ICs (DDUP ICs) are used to directly upconvert the low frequency amplitude modulation signal to the microwave carrier frequency ω . The DDUP IC 607-1 combines the analog output 1-Iin with the in-phase component of the microwave frequency ω to produce a first product. The DDUP IC 607-1 further combines the analog output 1-Qin with the quadrature component of the microwave frequency ω to produce a second product. The DDUP IC 607-1 adds the first and second products to generate the microwave signal RF1out.

DDUP IC 607-2結合類比輸出2-Iin與微波頻率ω的同相分量,以產生第三乘積。DDUP IC 607-2結合類比輸出2-Qin與微波頻率ω的正交分量,以產生第四乘積。DDUP IC 607-2將第三和第四乘積相加,以產生微波訊號RF2out。每個DDUP IC的功能示於在圖8A中,繪示典型的DDUP IC(如DDUP IC 607-1),為具有組合(混合器)函數802、另一個組合函數804與加法器806,組合函數802用於混合同相類比訊號與微波頻率的同相分量,組合函數804用於混合正交類比訊號與微波頻率的正交分量,加法器806用於將來自混合器函數802和804的兩個乘積相加。 The DDUP IC 607-2 combines the analog output 2-Iin with the in-phase component of the microwave frequency ω to produce a third product. The DDUP IC 607-2 combines the analog output 2-Qin with the quadrature component of the microwave frequency ω to produce a fourth product. The DDUP IC 607-2 adds the third and fourth products to generate the microwave signal RF2out. The function of each DDUP IC is shown in Figure 8A, which shows a typical DDUP IC (such as DDUP IC 607-1) with a combined (mixer) function 802, another combined function 804 and adder 806, a combined function. 802 is used to mix in-phase components of the in-phase analog signal with the microwave frequency, the combining function 804 is used to mix orthogonal components of the orthogonal analog signal with the microwave frequency, and the adder 806 is used to combine the two product phases from the mixer functions 802 and 804. plus.

圖8的FPGA 604包括4個隨機存取記憶體(RAM)620、720、622和722,其具有連接至DAC 608的四個數位輸入1-A、1-B、2-A和2-B中相對應的數位輸入之輸出,如圖9所示。圖9繪示用於實施藉由波幅調變產生慢速旋轉微波場的模式之FPGA 604的一個配置。 The FPGA 604 of FIG. 8 includes four random access memories (RAMs) 620, 720, 622, and 722 having four digital inputs 1-A, 1-B, 2-A, and 2-B connected to the DAC 608. The output of the corresponding digital input is shown in Figure 9. FIG. 9 illustrates one configuration of an FPGA 604 for implementing a mode of generating a slow rotating microwave field by amplitude modulation.

在圖9的模式中,RAM 720具有零內容(zero content),使得沒有訊號被施加於DAC 608的數位輸入1B,而RAM 722具有零內容,使得沒有訊號被施加於DAC 608的數位輸入2B。在圖9的模式中,RAM 620依參照圖4以上所述的方式操作以產生波幅調變訊號的數位同相分量 其施加於DAC 608的數位輸入1A。該DAC將此訊號轉換為類比波幅調變訊號B cosΩ a t於類比輸出1-Iin處。DDUP IC 607-1混合類比調變訊號B cosΩ a t與微波頻率同相分量cos(ωt+φ h )以產生微波訊號RF1out為:RFout1=α B cosΩ a t cos(ωt+φ h ),,其中α是混合增益,Ωa是使用者選擇的慢速旋轉頻率而ω是微波頻率。 In the mode of FIG. 9, RAM 720 has zero content such that no signal is applied to digital input 1B of DAC 608, while RAM 722 has zero content such that no signal is applied to digital input 2B of DAC 608. In the mode of Figure 9, RAM 620 operates in the manner described above with reference to Figure 4 to produce a digital in-phase component of the amplitude modulated signal. It is applied to the digital input 1A of the DAC 608. The DAC converts this signal into an analog amplitude modulation signal B cos Ω a t at the analog output 1-Iin. DDUP IC 607-1 mixed analog modulation signal B cos Ω a t and microwave frequency in-phase component cos( ωt + φ h ) to generate microwave signal RF1out is: RFout1= α B cos Ω a t cos( ωt + φ h ), Where α is the mixing gain, Ω a is the slow rotation frequency selected by the user and ω is the microwave frequency.

在圖9的模式中,RAM 622依以上參照圖4所述的方式操作以產生波幅調變訊號的數位正交分量 其施加於DAC 608的數位輸入2A。該DAC 608將此訊號轉換為類比波幅調變訊號B sinΩ a t於類比輸出2-Qin處。DDUP IC 607-2混合類比調變訊號B sinΩ a t與微波頻率同相分量cos(ωt+φ h )以產生微波訊號RF2out為:RFout2=α B sinΩ a t cos(ωt+φ h ),其中α是混合增益,Ωa是使用者選擇的慢速旋轉頻率而ω是微波頻率。 In the mode of Figure 9, RAM 622 operates in the manner described above with reference to Figure 4 to produce a digital quadrature component of the amplitude modulated signal. It is applied to the digital input 2A of the DAC 608. The DAC 608 converts this signal into an analog amplitude modulation signal B sin Ω a t at the analog output 2-Qin. DDUP IC 607-2 mixes the analog modulation signal B sin Ω a t with the microwave frequency in-phase component cos( ωt + φ h ) to generate the microwave signal RF2out as: RFout2= α B sin Ω a t cos ( ωt + φ h ), Where α is the mixing gain, Ω a is the slow rotation frequency selected by the user and ω is the microwave frequency.

圖10繪示用於實施藉由線性相位調變產生慢速旋轉微波場之FPGA 604的一配置。在圖10的模式中,RAM 620提供一常數a至DAC 608的數位輸入1A,其被傳送到類比輸出1-Iin。RAM 720具有零內容,使得沒有訊號施用於DAC 608的數位輸入1B,且沒有訊號存在於相對應的DAC 608的類比輸出1-Qin處。在圖10的模式中,RAM 622依參照圖4以上所述的方式操作以產生波幅調變訊號的數位同相分量 其施加於DAC 608的數位輸入2A。該DAC 608將此訊號轉換為類比波幅調變訊號α cosΩ a t於類比輸出2-Iin處。RAM 722產生波幅調變訊號的數位正交分量 其施加於DAC 608的數位輸入2B。該DAC 608將此訊號轉換為類比波幅調變訊號α cosΩ a t於類比輸出2-Qin處。 FIG. 10 illustrates a configuration for implementing an FPGA 604 that produces a slow rotating microwave field by linear phase modulation. In the mode of Figure 10, RAM 620 provides a constant a to digital input 1A of DAC 608, which is passed to analog output 1-Iin. The RAM 720 has zero content such that no signal is applied to the digital input 1B of the DAC 608 and no signal is present at the analog output 1-Qin of the corresponding DAC 608. In the mode of Figure 10, RAM 622 operates in the manner described above with reference to Figure 4 to produce a digital in-phase component of the amplitude modulated signal. It is applied to the digital input 2A of the DAC 608. The DAC 608 converts this signal to an analog amplitude modulation signal α cos Ω a t at the analog output 2-Iin. The RAM 722 generates a digital quadrature component of the amplitude modulation signal It is applied to the digital input 2B of the DAC 608. The DAC 608 converts this signal to an analog amplitude modulation signal α cos Ω a t at the analog output 2-Qin.

DDUP IC 607-1混合自輸出1-Iin接收的常數a與微波頻率同相分量cos(ωt+φ l)以產生微波訊號RF1out為:RFout1=αa cos(ωt+φ h ),其中α是混合增益,ω是微波頻率。 The DDUP IC 607-1 mixes the constant a received from the output 1-Iin with the microwave frequency in-phase component cos( ωt + φ l ) to generate the microwave signal RF1out as: RFout1 = α . a cos ( ωt + φ h ), where α is the mixing gain and ω is the microwave frequency.

DDUP IC 607-2混合類比調變訊號αcosΩ a t與微波頻率同相分量cos(ωt+φ h )以產生第一乘積訊號 α.a cosΩ a t cos(ωt+φ h ),其中α是混合增益,Ωa是使用者選擇的慢速旋轉頻率而ω是微波頻率。 DDUP IC 607-2 mixed analog modulation signal α . Cos Ω a t and the microwave frequency in-phase component cos ( ωt + φ h ) to generate the first product signal α. a cos Ω a t cos (ωt + φ h), where α is the gain mixed, Ω a slow rotation frequency is selected by the user and ω is the microwave frequency.

DDUP IC 607-2混合類比調變訊號αsinΩ a t(存在於類比輸出2-Qin)與微波頻率正交分量sin(ωt+φ h )以產生第二乘積訊號α.a sinΩ a t sin(ωt+φ h ),其中α是混合增益,Ωa是使用者選擇的慢速旋轉頻率而ω是微波頻率。 DDUP IC 607-2 mixed analog modulation signal α . Sin Ω a t (present in the analog output 2-Qin) and the microwave frequency quadrature component sin ( ωt + φ h ) to generate the second product signal α. a sin Ω a t sin ( ωt + φ h ), where α is the mixing gain, Ω a is the slow rotation frequency selected by the user and ω is the microwave frequency.

DDUP IC 607-2將第一和第二乘積訊號相加,以產生微波輸出訊號RFout2為RFout2=α.[cosΩ a t cos(ωt+φ h )+cosΩ a t cos(ωt+φ h )]。 The DDUP IC 607-2 adds the first and second product signals to generate a microwave output signal RFout2 of RFout2=α. [ cos Ω a t cos ( ωt + φ h )+ cos Ω a t cos ( ωt + φ h )].

圖11繪示用於實施分別產生頻率ω與頻率Ωa的快速與慢速旋轉微波場的模式之FPGA 604的配置。在圖11的模式中,RAM 620提供常數A與波幅調變訊號的數位同相分量之合,為 其施加於DAC 608的數位輸入1A。該DAC 608將此訊號轉換為類比波幅調變訊號A+B cosΩ a t於類比輸出1-Iin處。RAM 720具有零內容,使得沒有訊號施用於DAC 608的數位輸入1B,而沒有訊號存在於相對應的DAC 608的類比輸出1-Qin處。 11 illustrates a configuration of an FPGA 604 for implementing a mode of generating fast and slow rotating microwave fields of frequency ω and frequency Ω a , respectively. In the mode of FIG. 11, the RAM 620 provides a combination of the constant A and the digital in-phase component of the amplitude modulation signal. It is applied to the digital input 1A of the DAC 608. The DAC 608 converts this signal to an analog amplitude modulation signal A + B cos Ω a t at the analog output 1-Iin. The RAM 720 has zero content such that no signal is applied to the digital input 1B of the DAC 608, and no signal is present at the analog output 1-Qin of the corresponding DAC 608.

在圖11的模式中,RAM 622產生波幅調變訊號的數位正交分量 其施加於DAC 608的數位輸入2A。該DAC 608將此訊號轉換為類比波幅調變訊號B sinΩ a t於類比輸出2-Iin處。RAM 722輸出常數A,其施加於DAC 608的數位輸入2B並通過類比輸出2-Qin。 In the mode of FIG. 11, the RAM 622 generates a digital quadrature component of the amplitude modulation signal. It is applied to the digital input 2A of the DAC 608. The DAC 608 converts this signal to an analog amplitude modulation signal B sin Ω a t at the analog output 2-Iin. The RAM 722 outputs a constant A which is applied to the digital input 2B of the DAC 608 and outputs 2-Qin by analogy.

DDUP IC 607-1混合在類比輸出1-Iin處的類比波幅調變訊號A+B cosΩ a t與微波頻率同相分量cos(ωt+φ h )以產生微波訊號RF1out為:RFout1=α[A+B cosΩ a t]cos(ωt+φ h ),其中α是混合增益,Ωa是使用者選擇的慢速旋轉頻率而ω是微波頻率。 DDUP IC 607-1 mixes the analog amplitude modulation signal A + B cos Ω a t at the analog output 1-Iin with the microwave frequency in-phase component cos( ωt + φ h ) to generate the microwave signal RF1out as: RFout1= α [ A + B cos Ω a t ] cos ( ωt + φ h ), where α is the mixing gain, Ω a is the slow rotation frequency selected by the user and ω is the microwave frequency.

DDUP IC 607-2混合在類比輸出2-Iin處的類比波幅調變訊號B sinΩ a t與微波頻率同相分量cos(ω t +φ h )以產生第一乘積訊號αBsinΩ a tcos(ω t +φ h ),且其中α是混合增益。 DDUP IC 607-2 mixes the analog amplitude modulation signal B sin Ω a t at the analog output 2-Iin with the microwave frequency in-phase component cos(ω t + φ h ) to generate the first product signal αBsin Ω a tcos ( ω t + φ h ), and where α is the mixing gain.

DDUP IC 607-2混合在類比輸出2-Qin處的常數A與微波頻率正交分量sin(ωt+φ h )以產生第二乘積訊號α A sin(ωt+φ h ),其中α是混合增益。 DDUP IC 607-2 mixes the constant A at the analog output 2-Qin with the microwave frequency quadrature component sin ( ωt + φ h ) to produce a second product signal α A sin ( ωt + φ h ), where α is the hybrid gain .

DDUP IC 607-2將第一和第二乘積訊號相加在一起,以產生微波輸出訊號RFout2為:RF2out=α[B.sinΩ a t cos(ωt+φ h )+A.sin(ωt+φ h )]其中α是混合增益,Ωa是使用者選擇的慢速旋轉頻率而ω是微波頻率。 The DDUP IC 607-2 adds the first and second product signals together to generate a microwave output signal RFout2 of: RF2out = α [B. Sin Ω a t cos ( ωt + φ h )+A. sin (ωt + φ h)] where α is a mixing gain, Ω a slow rotation frequency is selected by the user and ω is the microwave frequency.

前述實施例可藉由電腦(如電腦602)儲存或存取可執行指令以用於執行上述實施例的功能來實施。該等指令可自網路或網際網路連接、自磁碟存取,從磁盤(disk)或自其它合適的媒介來存取。藉由提供經由電腦用於執行該功能或方法的可執行指令的存取,電腦可以說是經編程以執行該功能或方法。 The foregoing embodiments may be implemented by a computer (e.g., computer 602) storing or accessing executable instructions for performing the functions of the above-described embodiments. Such instructions may be accessed from a network or internet connection, from a magnetic disk, from a disk or from another suitable medium. By providing access to executable instructions for performing the function or method via a computer, the computer can be said to be programmed to perform the function or method.

優點: advantage:

本發明的實施例藉由旋轉電漿源的微波場來提供跨大腔室壓力範圍之均勻處理結果。數位合成微波旋轉使得可以將旋轉頻率盡可能設置得低,而使電漿即使在高腔室壓力下能夠跟隨轉動。 Embodiments of the present invention provide a uniform processing result across a large chamber pressure range by rotating the microwave field of the plasma source. The digital synthetic microwave rotation makes it possible to set the rotational frequency as low as possible, so that the plasma can follow the rotation even under high chamber pressure.

雖然前面所述係針對本發明的實施例,但在不背離本發明基本範圍下,可設計本發明的其他與進一步之實施例。 While the foregoing is directed to embodiments of the present invention, further and further embodiments of the invention may be

122‧‧‧底板 122‧‧‧floor

124‧‧‧溝槽 124‧‧‧ trench

810‧‧‧開口 810‧‧‧ openings

820‧‧‧輔助點火電極 820‧‧‧Auxiliary ignition electrode

830‧‧‧RF源 830‧‧‧RF source

Claims (20)

一種電漿反應器,包括:一圓柱形微波凹孔,該圓柱形微波凹孔在一工件處理腔室之上,及該圓柱形微波凹孔的一側壁中的第一與第二耦接孔以一角度分隔開;一微波源,該微波源具有一微波頻率且包括一微波控制器,該微波控制器具有耦接至該第一與第二耦接孔中的相應各者之個別微波輸出,該等微波控制器之各者包含:(a)第一與第二數位調變訊號的一源,該第一與第二數位調變訊號具有對應於一慢速旋轉頻率的一頻率;(b)一第一數位載波訊號的一源,該第一數位載波訊號具有一中頻;(c)一乘法器級(multiplier stage),該乘法器級包含一對乘法器,該對乘法器中的各個乘法器具有一對輸入,該乘法器級經耦接以分別接收(a)該第一數位調變訊號、該第二數位調變訊號與該第一數位載波訊號,該乘法器級具有對應的輸出in1與in2;(d)一數位轉類比的轉換器,該數位轉類比的轉換器經耦接以接收該等對應的輸出in1與in2 且具有對應於該等輸出in1與in2的類比輸出;及一上轉換器,該上轉換器具有與該等類比輸出耦接的輸入,該上轉換器包含該等微波輸出。 A plasma reactor comprising: a cylindrical microwave recess, the cylindrical microwave recess above a workpiece processing chamber, and first and second coupling holes in a sidewall of the cylindrical microwave recess Separated by an angle; a microwave source having a microwave frequency and including a microwave controller having an individual microwave coupled to respective ones of the first and second coupling holes Output, each of the microwave controllers includes: (a) a source of the first and second digit modulation signals, the first and second digit modulation signals having a frequency corresponding to a slow rotation frequency; (b) a source of a first digital carrier signal, the first digital carrier signal having an intermediate frequency; (c) a multiplier stage, the multiplier stage comprising a pair of multipliers, the pair of multipliers Each multiplier has a pair of inputs, and the multiplier stage is coupled to receive (a) the first digit modulation signal, the second digit modulation signal and the first digit carrier signal, respectively, the multiplier stage has Corresponding output in1 and in2; (d) a digital to analog converter The analog to digital converter is revolutions coupled to receive the output of the corresponding plurality of in1 and in2 And having an analog output corresponding to the outputs in1 and in2; and an upconverter having an input coupled to the analog outputs, the upconverter including the microwave outputs. 如請求項1所述之電漿反應器,其中:該對乘法器中的一第一個乘法器經耦接以接收該第一數位調變訊號與該第一數位載波訊號,且具有包含該輸出in1的一第一乘法器輸出;及該對乘法器中的一第二個乘法器經耦接以接收該第二數位調變訊號與該第一數位載波訊號,且具有包含該輸出in2的一第二乘法器輸出。 The plasma reactor of claim 1, wherein: a first multiplier of the pair of multipliers is coupled to receive the first digital modulation signal and the first digital carrier signal, and has the a first multiplier output of the output in1; and a second multiplier of the pair of multipliers coupled to receive the second digital modulation signal and the first digital carrier signal, and having the output in2 A second multiplier output. 如請求項1所述之電漿反應器進一步包括該中頻的一第二數位載波訊號的一源,其中:該第一數位載波訊號的該源耦接至該輸出in1;該對乘法器中的一第一個乘法器經耦接以接收該第一數位調變訊號與該第一數位載波訊號;該對乘法器中的一第二個乘法器經耦接以接收該第二數位調變訊號與該第二數位載波訊號,且具有包含該乘法器輸出in2的一第二乘法器輸出;及其中該乘法器級進一步包括一加法器,該加法器經耦接以接收該對乘法器的輸出,該加法器具有包含該輸出in2的一輸出。 The plasma reactor of claim 1 further comprising a source of a second digital carrier signal of the intermediate frequency, wherein: the source of the first digital carrier signal is coupled to the output in1; the pair of multipliers a first multiplier is coupled to receive the first digital modulation signal and the first digital carrier signal; a second multiplier of the pair of multipliers is coupled to receive the second digital modulation a signal and the second digital carrier signal, and having a second multiplier output including the multiplier output in2; and wherein the multiplier stage further includes an adder coupled to receive the pair of multipliers Output, the adder has an output containing the output in2. 如請求項2所述之電漿反應器,其中該第一 與第二數位調變訊號分別包括一餘弦形式分量I與一正弦形式分量Q。 a plasma reactor as claimed in claim 2, wherein the first And the second digital modulation signal includes a cosine form component I and a sinusoidal form component Q, respectively. 如請求項4所述之電漿反應器,其中第一與第二數位調變訊號的該源包括:一第一RAM、一第二RAM與一低時脈指針,該第一RAM包含該餘弦形式分量I的連續取樣,該第二RAM包含該正弦形式分量Q的連續取樣,該低時脈指針指向I與Q的該等連續取樣而與該慢速旋轉頻率同步。 The plasma reactor of claim 4, wherein the source of the first and second digit modulation signals comprises: a first RAM, a second RAM, and a low clock pointer, the first RAM including the cosine Continuous sampling of the form component I, the second RAM comprising successive samples of the sinusoidal form component Q, the low clock hands pointing to the consecutive samples of I and Q synchronized with the slow rotational frequency. 如請求項5所述之電漿反應器,其中一數位載波訊號的該源包括:一第三RAM與一低時脈指針,該第三RAM包含該數位載波訊號的連續取樣,該低時脈指針指向該數位載波訊號的該等連續取樣而與該中頻同步。 The plasma reactor of claim 5, wherein the source of the one-bit carrier signal comprises: a third RAM and a low clock pointer, the third RAM comprising consecutive samples of the digital carrier signal, the low clock The pointer points to the consecutive samples of the digital carrier signal and is synchronized with the intermediate frequency. 如請求項2所述之電漿反應器,其中該上轉換器具有等於該微波頻率的一輸出頻率。 A plasma reactor as claimed in claim 2, wherein the upconverter has an output frequency equal to the microwave frequency. 如請求項1所述之電漿反應器,其中該等乘法器的各者產生該等訊號的一乘積(product)在其輸入處。 A plasma reactor as claimed in claim 1 wherein each of the multipliers produces a product of the signals at its input. 如請求項1所述之電漿反應器,其中該角度係90度。 A plasma reactor as claimed in claim 1, wherein the angle is 90 degrees. 如請求項1所述之電漿反應器進一步包 括一使用者介面,該使用者介面允許一使用者指定該慢速旋轉頻率。 The plasma reactor as described in claim 1 is further packaged A user interface is provided that allows a user to specify the slow rotation frequency. 一種電漿反應器,包括:一圓柱形微波凹孔,該圓柱形微波凹孔在一工件處理腔室之上,及該圓柱形微波凹孔的一壁中的第一與第二耦接孔以一角度分隔開;一微波源,該微波源具有一微波頻率且包括耦接至該第一與第二耦接孔中的相應各者之個別微波輸出,該等微波源進一步包含:一數位調變訊號的一同相分量1-A與一正交(quadrature)分量2-A的一源,該數位調變訊號具有對應於一慢速旋轉頻率的一頻率;一數位轉類比的轉換器,該數位轉類比的轉換器經耦接以接收該等同相與正交分量1-A與1-B,且具有相對應的類比輸出in1與in2;及一上轉換器,該上轉換器包含:(a)一第一組合器函數,該第一組合器函數包含該類比輸出in1與該微波頻率的一同相分量的對應輸入,及對應於該等微波輸出中的一第一個微波輸出之一第一乘積輸出;及(b)一第二組合器函數,該第二組合器函數包含該類比輸出in2與該微波頻率的一同相分量的 對應輸入,該第二組合器函數包含一第二乘積輸出。 A plasma reactor comprising: a cylindrical microwave recess, the cylindrical microwave recess above a workpiece processing chamber, and first and second coupling holes in a wall of the cylindrical microwave recess Separated by an angle; a microwave source having a microwave frequency and including individual microwave outputs coupled to respective ones of the first and second coupling holes, the microwave sources further comprising: A source of the in-phase component 1-A of the digital modulation signal and a quadrature component 2-A having a frequency corresponding to a slow rotation frequency; a digital to analog converter The digital to analog converter is coupled to receive the equivalent phase and quadrature components 1-A and 1-B, and has corresponding analog outputs in1 and in2; and an upconverter, the upconverter includes : (a) a first combiner function, the first combiner function comprising a corresponding input of the analog output in1 and an in-phase component of the microwave frequency, and corresponding to a first microwave output of the microwave outputs a first product output; and (b) a second combiner function, the Combiner function comprises two output in2 class than with the microwave frequency in-phase component Corresponding to the input, the second combiner function includes a second product output. 如請求項11所述之電漿反應器,其中該第二乘積輸出耦接至該等微波輸出中的一第二個微波輸出。 The plasma reactor of claim 11, wherein the second product output is coupled to a second microwave output of the microwave outputs. 如請求項11所述之電漿反應器,其中該微波源進一步包括一恆定訊號A的一源,且其中該上轉換器進一步包括:一第三組合器函數,該第三組合器函數具有經耦接以接收該恆定訊號A的一個輸入及經耦接以接收該微波頻率的該正交分量的另一個輸入,及一第三乘積輸出;及一加法器函數,該加法器函數具有分別耦接至該第二與第三乘積輸出的輸入及耦接至該等微波輸出中的該第二個微波輸出的一和數輸出。 The plasma reactor of claim 11, wherein the microwave source further comprises a source of a constant signal A, and wherein the up converter further comprises: a third combiner function having a An input coupled to receive the constant signal A and another input coupled to receive the orthogonal component of the microwave frequency, and a third product output; and an adder function having a separate coupling An input to the second and third product outputs and a sum output coupled to the second microwave output of the microwave outputs. 如請求項13所述之電漿反應器,其中該數位調變訊號的一同相分量的該源產生該數位調變訊號與該恆定訊號A的一總和。 The plasma reactor of claim 13, wherein the source of an in-phase component of the digital modulation signal produces a sum of the digital modulation signal and the constant signal A. 如請求項12所述之電漿反應器,其中該等同相與正交分量分別包括一餘弦形式分量I與一正弦形式分量Q。 The plasma reactor of claim 12, wherein the equivalent phase and the quadrature component comprise a cosine form component I and a sinusoidal form component Q, respectively. 如請求項15所述之電漿反應器,其中: 該數位調變訊號的該同相分量的該源包括一第一RAM,該第一RAM包含該餘弦形式分量I的連續取樣;該數位調變訊號的該正交分量的該源包括一第二RAM,該第二RAM包含該正弦形式分量Q的連續取樣;及一低時脈指針,該低時脈指針指向I與Q的該等連續取樣而與該慢速旋轉頻率同步。 A plasma reactor as claimed in claim 15 wherein: The source of the in-phase component of the digital modulation signal includes a first RAM, the first RAM including consecutive samples of the cosine form component I; the source of the quadrature component of the digital modulation signal includes a second RAM The second RAM includes successive samples of the sinusoidal form component Q; and a low clock pointer that points to the consecutive samples of I and Q in synchronization with the slow rotational frequency. 如請求項13所述之電漿反應器,其中該等同相與正交分量分別包括一餘弦形式分量I與一正弦形式分量Q。 The plasma reactor of claim 13, wherein the equivalent phase and the quadrature component comprise a cosine form component I and a sinusoidal form component Q, respectively. 如請求項17所述之電漿反應器,其中:該數位調變訊號的該同相分量的該源包括一第一RAM,該第一RAM包含該餘弦形式分量I的連續取樣;該數位調變訊號的該正交分量的該源包括一第二RAM,該第二RAM包含該正弦形式分量Q的連續取樣;及一低時脈指針,該低時脈指針指向I與Q的該等連續取樣而與該慢速旋轉頻率同步。 The plasma reactor of claim 17, wherein: the source of the in-phase component of the digital modulation signal comprises a first RAM, the first RAM comprising a continuous sample of the cosine form component I; the digital modulation The source of the quadrature component of the signal includes a second RAM, the second RAM including successive samples of the sinusoidal component Q; and a low clock pointer pointing to the consecutive samples of I and Q And synchronized with the slow rotation frequency. 如請求項11所述之電漿反應器,其中該上轉換器具有等於該微波頻率的一輸出頻率。 A plasma reactor as claimed in claim 11, wherein the upconverter has an output frequency equal to the microwave frequency. 如請求項11所述之電漿反應器,其中每個該組合器函數經調整以產生該等訊號的一乘積在其輸入處。 A plasma reactor as claimed in claim 11, wherein each of the combiner functions is adjusted to produce a product of the signals at its input.
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